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Finding the Fourth Proportional to 25,712.36, 35,484.87 and 14,382.91

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Solution

The fourth proportional to 25,712.36, 35,484.87 and 14,382.91 is: 19,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.36 : 35,484.87 = 14,382.91 : x
  2. Step 2: Convert to fraction form
    25,712.36/35,484.87 = 14,382.91/x
  3. Step 3: Cross multiply
    25,712.36x = 35,484.87 × 14,382.91
  4. Step 4: Simplify right side
    25,712.36x = 510,375,619.66
  5. Step 5: Solve for x
    x = 510,375,619.66/25,712.36
  6. Step 6: Final answer
    x = 19,849.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.